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Finding the Third Proportional to 382,784 and 547,932

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Solution

The third proportional to 382,784 and 547,932 is: 784,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,784 : 547,932 = 547,932 : x
  2. Step 2: Convert to fraction form
    382,784/547,932 = 547,932/x
  3. Step 3: Cross multiply
    382,784x = 547,932 × 547,932
  4. Step 4: Simplify right side
    382,784x = 300,229,476,624
  5. Step 5: Solve for x
    x = 300,229,476,624/382,784
  6. Step 6: Final answer
    x = 784,331.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.